What is the Least Common Multiple of 99048 and 99053?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 99048 and 99053 is 9811001544.
LCM(99048,99053) = 9811001544
Least Common Multiple of 99048 and 99053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99048 and 99053, than apply into the LCM equation.
GCF(99048,99053) = 1
LCM(99048,99053) = ( 99048 × 99053) / 1
LCM(99048,99053) = 9811001544 / 1
LCM(99048,99053) = 9811001544
Least Common Multiple (LCM) of 99048 and 99053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99048 and 99053. First we will calculate the prime factors of 99048 and 99053.
Prime Factorization of 99048
Prime factors of 99048 are 2, 3, 4127. Prime factorization of 99048 in exponential form is:
99048 = 23 × 31 × 41271
Prime Factorization of 99053
Prime factors of 99053 are 99053. Prime factorization of 99053 in exponential form is:
99053 = 990531
Now multiplying the highest exponent prime factors to calculate the LCM of 99048 and 99053.
LCM(99048,99053) = 23 × 31 × 41271 × 990531
LCM(99048,99053) = 9811001544
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